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Finding the Fourth Proportional to 213,387.63, 294,471.09 and 117,900.78

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Solution

The fourth proportional to 213,387.63, 294,471.09 and 117,900.78 is: 162,700.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,387.63 : 294,471.09 = 117,900.78 : x
  2. Step 2: Convert to fraction form
    213,387.63/294,471.09 = 117,900.78/x
  3. Step 3: Cross multiply
    213,387.63x = 294,471.09 × 117,900.78
  4. Step 4: Simplify right side
    213,387.63x = 34,718,371,198.45
  5. Step 5: Solve for x
    x = 34,718,371,198.45/213,387.63
  6. Step 6: Final answer
    x = 162,700.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.